Sub-optimal aggregation of switched linear systems

This paper investigates sub-optimal switching of switched linear systems and the corresponding aggregated systems. Based on the pathwise state feedback switching law, the switched system is aggregated into a piecewise linear system. We present a sub-optimal switching approach that designs the contractive paths and the state-space partitions in an optimal manner. The numerical example demonstrates that sub-optimal switching paths can asymptotically stabilize the switched linear system with a reduced cost.